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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004877736097 2,091 digits created 2023-10-25

Value

483399340018963315272132448149138990909942353696668513301926973920588928795353043628753960353395476012744231987802060061408182993032272875374625223710598236865084993681009776077447892046939287221252723528000596430072894403408720524929039982595935973940541190847526326624361853444181029436811958202089238724553921488596051548697834017738965649019136672493415730748124990934283186478240154469771881319429249054462933572599723176875068904400988825929390023390739604856269699150264220621091302483140865554290357584039698954247741820086690376644962497045251656816280660646735725885259996815934561521469650337107634072081440749724803470776578048016553455041124766915990829365856116798271168992496350191330709336051121619634724500081547653021590567617933184763022184390261896569785302072488701783713050742503117483519475007309234961604035057678877641675337843345761046647346561772426729070265278693099345859425010144338290587080232101528716524047081490035010718203911000137185941895082754080101662259880738449693219120007010009860703061935261801882418912874831858866115974921076699869452355518230381812578097934647507145571384655701469783216096490220824335506928896820252191291781485470507229819860463181535817976525654356755861464442473235649450043222384237722703169114328396282937622791725161361808561908504906016052095820809567291990702313139898535985426179015194880494419217126894979614486204989648502884716788576486423408796278354866177600562953767878940885032687955950172165891799030913701573263210499274842925895773980524782545807036593456110112031678165797832124325590052400840631337908521043390024706648526229512509321174266754801808632922422996799552561474684604024551179124752405813584402242495624441352702915249988729900034846938705113813014361352618234192020799810423136562003340112695660571295665640387555601363652843337563654923033327840544646918540737927818787099992570626867778489453893678437374848113262433626935820847837356478762216679263374040222107152059131545950608246065782711659868412385225242373567316150962091406365694010372967740745250160764406015648150885969536777954567
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,441-digit prime (350 intermediate primes).

Certified number2,441-digit prime
Certificatedownload
Certificate chainshow step 48 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877736097 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004877736097},"decimal":true,"detail":2}}'